Canonical Extension of Endomorphisms of Type Iii Factors

@inproceedings{Izumi2001CanonicalEO,
  title={Canonical Extension of Endomorphisms of Type Iii Factors},
  author={Masaki Izumi},
  year={2001}
}
We extend the notion of the canonical extension of automorphisms of type III factors to the case of endomorphisms with finite statistical dimensions. Following the automorphism case, we introduce two notions for endomorphisms of type III factors: modular endomorphisms and Connes-Takesaki modules. Several applications to compact groups of automorphisms and… CONTINUE READING